Matrices with Prescribed Characteristic Polynomial and a Prescribed Submatrix III.
Matrices with prescribed characteristic polynomial and submatrices
Matrices with prescribed rows and invariant factors
Matrices with prescribed similarity class and a prescribed nonprincipal submatrix
Matrix and operator inequalities.
Matrix bounds for the solution of the continuous algebraic Riccati equation.
Matrix divisors of mI
Matrix equalities and inequalities involving Khatri-Rao and Tracy-Singh sums.
Matrix equations arising in regulator problems
Matrix equivalence over finite fields
Matrix exponentials and inversion of confluent Vandermonde matrices.
Matrix field extensions
Matrix functions preserving sets of generalized nonnegative matrices.
Matrix functions: Taylor expansion, sensitivity and error analysis
Matrix identities involving multiplication and transposition
We study matrix identities involving multiplication and unary operations such as transposition or Moore–Penrose inversion. We prove that in many cases such identities admit no finite basis.
Matrix inequalities by means of embedding.
Matrix inequalities involving the Khatri-Rao product
We extend three inequalities involving the Hadamard product in three ways. First, the results are extended to any partitioned blocks Hermitian matrices. Second, the Hadamard product is replaced by the Khatri-Rao product. Third, the necessary and sufficient conditions under which equalities occur are presented. Thereby, we generalize two inequalities involving the Khatri–Rao product.
Matrix inversion and digraphs: the one factor case.
Matrix partitions with finitely many obstructions.
Matrix powers over finite fields.